Finding the Third Proportional to 172,447 and 269,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,447 : 269,149.50 = 269,149.50 : x
2. Step 2: Convert to fraction form
   172,447/269,149.50 = 269,149.50/x
3. Step 3: Cross multiply
   172,447x = 269,149.50 × 269,149.50
4. Step 4: Simplify right side
   172,447x = 72,441,453,350.25
5. Step 5: Solve for x
   x = 72,441,453,350.25/172,447
6. Step 6: Final answer
   x = 420,079.52